Parabolas and Ellipses

What is the equation used to determine the focus points on an ELLIPSE?

• c² = a² + b²

• c² = a² - b²

• 1/4p

• (x-h)² + (y-k)² = r²

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what type of an ellipse has the following characteristics?

• vertical

• horizontal

Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what type of an ellipse has these characteristics?

• vertical ellipse

• horizontal ellipse

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)

• (-1,6)

• (-1,2)

• (-3,4)

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4

• x = 2

• y = -4

• y = -6

Which direction does this parabola open?

• Up

• Down

• Left

• Right

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

The line containing the center and foci.

• Major Axis

• Minor Axis

• Vertices

• Co-Vertices

The focus is always inside the parabola.

• true

• false